Teleparallel origin of the Fierz picture for spin-2 particle

Abstract

A new approach to the description of spin-2 particle in flat and curved spacetime is developed on the basis of the teleparallel gravity theory. We show that such an approach is in fact a true and natural framework for the Fierz representation proposed recently by Novello and Neves. More specifically, we demonstrate how the teleparallel theory fixes uniquely the structure of the Fierz tensor, discover the transparent origin of the gauge symmetry of the spin 2 model, and derive the linearized Einstein operator from the fundamental identity of the teleparallel gravity. In order to cope with the consistency problem on the curved spacetime, similarly to the usual Riemannian approach, one needs to include the non-minimal (torsion dependent) coupling terms.

5 pages, Revtex4, no figures. Accepted for publication in Phys. Rev. D

References in corpus (1)

• Teleparallel Spin Connection

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• The Nontriviality of Trivial General Covariance: How Electrons Restrict 'Time' Coordinates, Spinors (Almost) Fit into Tensor Calculus, and 7/16 of a Tetrad Is Surplus Structure
• Gravitational Waves in Higher Order Teleparallel Gravity
• General relativity as a special case of Poincaré gauge gravity
• Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
• Consistent Gravitationally-Coupled Spin-2 Field Theory
• Linearized gravity in terms of differential forms
• Conformal and gauge invariant spin-2 field equations
• Conservation laws in gauge gravity theory